When we write a number as the sum of the place value of its digits, the number is called the stale form, and when we write a number with digits, the number is called the short form.

Extended form of a number:

If we write 3476, the number really means 3000 + 400 + 70 + 6. This means that we have expanded the number to show the value of each of its digits.

The expanded form of a number is the method of expressing the number as the sum of the place value of all its digits.

For example,

Look at number 2815

2815 = 2000 + 800 + 10 + 5

There are three ways to write the advanced form. There are three ways to write the advanced form for a specific number.

Examples of the expanded form of a number:

1. Write the extended form for 43,257.

Solution:

1st Way: 4 tens of thousands + 3 thousand + 2 hundred + 5 tens + 7 ones

2nd Way: 4 × 10000 + 3 × 1000 + 2 × 100 + 5 × 10 + 7 × 1

3approx Way: 40000 + 3000 + 200 + 50 + 7

2. Write the advanced form for 14,080.

Solution:

14,080 = 1 ten thousand + 4 thousand + 8 tens [Note: We do not write the place value for
hundreds and ones as these places are filled with zero.]

or 1 × 10000 + 4 × 1000 + 8 × 10

or 10000 + 4000 + 80

Standard form of a number / short form of a number:

The standard form of a number is a way of expressing the expanded form in numbers.

For example, the standard form is 7000 + 400 + 10 + 1 = 7411

Examples of extended form and short form of a number:

3rd Write the short form for the specified extended forms.

(i) 8 tens of thousands + 6 hundred + 6 tens + 3 ones

(ii) 9 × 10000 + 7 × 1000 + 4 × 10 + 2

(iii) 40000 + 3000 + 900 + 70 + 8

Solution:

 Extended form (i) 8 tens of thousands + 6 hundred + 6 tens + 3 ones (ii) 9 × 10000 + 7 × 1000 + 4 × 10 + 2 (iii) 40000 + 3000 + 900 + 70 + 8 short form 80663 97042 43978

Questions and answers about the extended form and the standard form of a number:

I. Write in expanded form:

(i) 5896

(ii) 3817

(iii) 6399

(iv) 1357

(v) 3434

(vi) 5690

Reply:

I. (i) 5000 + 800 + 90 + 6

(ii) 3000 + 800 + 10 + 7

(iii) 6000 + 300 + 90 + 9

(iv) 1000 + 300 + 50 + 7

(v) 3000 + 400 + 30 + 4

(vi) 5000 + 600 + 90 + 0

II. Write in the standard form:

(i) 2000 + 900 + 90 + 9

(ii) 8000 + 200 + 50 + 3

(iii) 1000 + 400 + 50 + 2

(iv) 4000 + 300 + 9

(v) 6000 + 900 + 80 + 4

Reply:

II. (i) 2999

(ii) 8253

(iii) 1452

(iv) 4309

(v) 6984

3rd grade math lesson

From the extended form and short form of a number to the start page

Did you not find what you were looking for? Or want to know more information aboutMath only math.
Use this google search to find what you need.